Chemical wave front in two dimensions

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Abstract
A reactive lattice-gas cellular automaton model is used to simulate a chemical wave front in two dimensions. The computed value of the front propagation velocity agrees with the one-dimensional (1D) theoretical value. In contrast, the front width is half the predicted 1D value. This result is explained by the fractal character of the interface. The fractal structure, described through several fractal dimensions, is shown to be independent of the reaction and diffusion parameter values.